30012312013200 has 1920 divisors, whose sum is σ = 125331178291200. Its totient is φ = 6749568000000.

The previous prime is 30012312013183. The next prime is 30012312013273. The reversal of 30012312013200 is 231021321003.

30012312013200 is a `hidden beast` number, since 30 + 0 + 1 + 2 + 312 + 0 + 1 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16126980270 + ... + 16126982130.

It is an arithmetic number, because the mean of its divisors is an integer number (65276655360).

Almost surely, 2^{30012312013200} is an apocalyptic number.

30012312013200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30012312013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62665589145600).

30012312013200 is an abundant number, since it is smaller than the sum of its proper divisors (95318866278000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30012312013200 is a wasteful number, since it uses less digits than its factorization.

30012312013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30012312013200 its reverse (231021321003), we get a palindrome (30243333334203).

The spelling of 30012312013200 in words is "thirty trillion, twelve billion, three hundred twelve million, thirteen thousand, two hundred".